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Finding the Third Proportional to 672,729.50 and 1,011,929.25

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Solution

The third proportional to 672,729.50 and 1,011,929.25 is: 1,522,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,729.50 : 1,011,929.25 = 1,011,929.25 : x
  2. Step 2: Convert to fraction form
    672,729.50/1,011,929.25 = 1,011,929.25/x
  3. Step 3: Cross multiply
    672,729.50x = 1,011,929.25 × 1,011,929.25
  4. Step 4: Simplify right side
    672,729.50x = 1,024,000,807,005.56
  5. Step 5: Solve for x
    x = 1,024,000,807,005.56/672,729.50
  6. Step 6: Final answer
    x = 1,522,158.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.